Skip to content
Advances in Fixed Point Theory ISSN 1927-6303 (Print)

Archives › Volume 8, Number 3 (2018)

Adv. Fixed Point Theory 8 (2018), 274–286

Convergence theorems for a bivariate nonexpansive operator

Cholatis Suanoom, Chakkrid Klin-eam, Wongvisarut Khuangsatung

PDF (147.7 KB) https://doi.org/10.28919/afpt/3671

Abstract

In this paper, we prove some fixed point theorems for coupled-nonexpansive mapping and prove strong convergence and weakly convergence theorems for a double Mann-type iterative process to approximating a fixed point for coupled-nonexpansive operator in Hilbert spaces. Moreover, we prove some properties of the coupled fixed point set for coupled-nonexpansive mapping and prove fixed point theorem for such mapping on Banach spaces.

Published
8 July 2018
Volume
8 (2018)
License
CC BY 3.0

Copyright © 2018 Cholatis Suanoom, Chakkrid Klin-eam, Wongvisarut Khuangsatung. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

C. Suanoom, C. Klin-eam, W. Khuangsatung, Convergence theorems for a bivariate nonexpansive operator, Adv. Fixed Point Theory 8 (2018), 274–286. https://doi.org/10.28919/afpt/3671

BibTeX
@article{Suanoom2018,
  author  = {Suanoom, Cholatis and Klin-eam, Chakkrid and Khuangsatung, Wongvisarut},
  title   = {Convergence theorems for a bivariate nonexpansive operator},
  journal = {Adv. Fixed Point Theory},
  volume  = {8},
  year    = {2018},
  pages   = {274--286},
  doi     = {10.28919/afpt/3671}
}